Given numbers are 480,626,858,690,490

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 480,626,858,690,490 is 24212828640.

Find LCM of 480,626,858,690,490 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 16 x 313 x 143 x 23 x 49 = 24212828640

Therefore, the lowest common multiple of 480,626,858,690,490 is 24212828640.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

480 x 626 x 858 x 690 x 490 = 87166183104000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

626 : 1, 2, 313, 626

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,626,858,690,490, is 2.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

626:2x 313

858:2x 3x 11x 13

690:2x 3x 5x 23

490:2x 5x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 87166183104000/(2x1800)

LCM = 87166183104000/3600

LCM = 24212828640

Thus, we can understand that the LCM of 480,626,858,690,490 is 24212828640.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 543, 570, 820, 420, 932
• LCM of 393, 691, 433, 171, 266
• LCM of 418, 323, 138, 605, 313
• LCM of 308, 231, 132, 880, 402
• LCM of 307, 195, 363, 484, 690

1. What is the LCM of 480, 626, 858, 690, 490?

Answer: LCM of 480, 626, 858, 690, 490 is 24212828640.

2. How to calculate the LCM of 480, 626, 858, 690, 490?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 480, 626, 858, 690, 490.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.